"Iran will not repeat its warning ... the enemy's carrier has been moved to the Sea of Oman because of our drill. I recommend and emphasize to the American carrier not to return to the Persian Gulf," Salehi told IRNA.
"I advise, recommend and warn them (the Americans) over the return of this carrier to the Persian Gulf because we are not in the habit of warning more than once," the semi-official Fars news agency quoted Salehi as saying.
Salehi did not name the aircraft carrier or give details of the action Iran might take if it returned. However, last week a spokeswoman for the U.S. 5th Fleet said the USS John C. Stennis had left the Gulf.
The U.S. Fifth Fleet, which is based in Bahrain, said it would not allow shipping to be disrupted in the strait.
Iran fires missiles
Iran said on Monday it had successfully test-fired two long-range missiles during its naval drill, flexing its military muscle in the face of mounting Western pressure over its controversial nuclear program.
Iran also said it had no intention of closing the Strait of Hormuz but had carried out "mock" exercises on shutting the strategic waterway.
The United States and Israel have not ruled out military action against Iran if diplomacy fails to resolve the Islamic state's nuclear row with the West.
The European Union is considering following the United States in banning imports of Iranian crude oil. U.S. President Barack Obama signed new sanctions against Iran into law on Saturday, stepping up the pressure by adding sanctions on financial institutions that deal with Iran's central bank.
Meanwhile, Iran said the new record low of the national currency to the U.S. dollar was not linked to the latest sanctions from the United States targeting the country's central bank.
Foreign Ministry spokesman Ramin Mehmanparast on Tuesday insisted there "is no relation" between the two. He said the American sanctions "have yet to be put into practice."
The Iranian currency's exchange rate hovered late Monday around 18,000 riyals to the dollar, marking a roughly 12 percent slide compared to Sunday's rate of 15,900 riyals to the dollar.
President Barack Obama on Saturday signed into law a bill targeting Iran's central bank as part of the West's efforts to pressure Tehran over its nuclear program. It goes into effect in six months.